{"id":"https://openalex.org/W3215112937","doi":"https://doi.org/10.1137/20m1383872","title":"Global Well-Posedness of Incompressible Elastodynamics in Three-Dimensional Thin Domain","display_name":"Global Well-Posedness of Incompressible Elastodynamics in Three-Dimensional Thin Domain","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3215112937","doi":"https://doi.org/10.1137/20m1383872","mag":"3215112937"},"language":"en","primary_location":{"id":"doi:10.1137/20m1383872","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1383872","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049304106","display_name":"Yuan Cai","orcid":"https://orcid.org/0000-0003-3933-1272"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Yuan Cai","raw_affiliation_strings":["Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong,","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040576965","display_name":"Fan Wang","orcid":"https://orcid.org/0000-0002-4158-9857"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fan Wang","raw_affiliation_strings":["Department of Mathematics, Southwest Jiaotong University, Chengdu, 611756, China,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Southwest Jiaotong University, Chengdu, 611756, China,","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5049304106"],"corresponding_institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.23879831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"53","issue":"6","first_page":"6654","last_page":"6696"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/compressibility","display_name":"Compressibility","score":0.7518129944801331},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.6938597559928894},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6922823190689087},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5533509254455566},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5056278705596924},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.13924014568328857},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12021744251251221},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11625176668167114}],"concepts":[{"id":"https://openalex.org/C84655787","wikidata":"https://www.wikidata.org/wiki/Q8067817","display_name":"Compressibility","level":2,"score":0.7518129944801331},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.6938597559928894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6922823190689087},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5533509254455566},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5056278705596924},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.13924014568328857},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12021744251251221},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11625176668167114},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/20m1383872","is_oa":false,"landing_page_url":"https://doi.org/10.1137/20m1383872","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-117807","is_oa":false,"landing_page_url":"http://lbdiscover.ust.hk/uresolver?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rfr_id=info:sid/HKUST:SPI&rft.genre=article&rft.issn=0036-1410&rft.volume=53&rft.issue=6&rft.date=2021&rft.spage=6654&rft.aulast=Cai&rft.aufirst=Yuan&rft.atitle=GLOBAL+WELL-POSEDNESS+OF+INCOMPRESSIBLE+ELASTODYNAMICS+IN+THREE-DIMENSIONAL+THIN+DOMAIN&rft.title=SIAM+JOURNAL+ON+MATHEMATICAL+ANALYSIS","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.4300000071525574,"display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4343234364","display_name":null,"funder_award_id":"XJ2018047","funder_id":"https://openalex.org/F4320323540","funder_display_name":"Society of Hong Kong Scholars"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7206017545","display_name":null,"funder_award_id":"11701477","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7810175455","display_name":null,"funder_award_id":"201804","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G894948728","display_name":null,"funder_award_id":"16308820","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320323540","display_name":"Society of Hong Kong Scholars","ror":"https://ror.org/03gffcv79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1964272380","https://openalex.org/W1966976834","https://openalex.org/W1974200795","https://openalex.org/W1979106508","https://openalex.org/W1992796528","https://openalex.org/W1997422412","https://openalex.org/W1998761664","https://openalex.org/W2002622816","https://openalex.org/W2003113880","https://openalex.org/W2007240046","https://openalex.org/W2007610584","https://openalex.org/W2024564326","https://openalex.org/W2026855422","https://openalex.org/W2030742029","https://openalex.org/W2038268818","https://openalex.org/W2045647581","https://openalex.org/W2048410002","https://openalex.org/W2052092920","https://openalex.org/W2053544741","https://openalex.org/W2062085788","https://openalex.org/W2063650239","https://openalex.org/W2066363083","https://openalex.org/W2069054223","https://openalex.org/W2079874963","https://openalex.org/W2092594123","https://openalex.org/W2106844042","https://openalex.org/W2120501522","https://openalex.org/W2160580709","https://openalex.org/W2161089095","https://openalex.org/W2161231291","https://openalex.org/W2194625670","https://openalex.org/W2515928488","https://openalex.org/W2727104098","https://openalex.org/W2962743215","https://openalex.org/W2962993445","https://openalex.org/W2963527323","https://openalex.org/W2964037944","https://openalex.org/W3102443306","https://openalex.org/W3113724992","https://openalex.org/W4244422588","https://openalex.org/W4245720956","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4388258507","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2955606923"],"abstract_inverted_index":{"In":[0],"this":[1,119],"article,":[2],"we":[3,55,110],"prove":[4],"global":[5],"existence":[6],"of":[7,37,53],"classical":[8,44],"solutions":[9],"to":[10,73,117],"the":[11,43,49,57,62,67,74,81,88,100,106,135],"incompressible":[12],"isotropic":[13],"Hookean":[14],"elastodynamics":[15],"in":[16,80],"three-dimensional":[17],"thin":[18,75],"domain":[19],"\\Omega":[20],"<sub>\\delta</sub>":[21],"=":[22],"\\BbbR":[23],"<sup>2</sup>":[24],"\\times":[25],"[0,":[26],"\\delta":[27,95],"]":[28],"with":[29],"periodic":[30],"boundary":[31],"condition.":[32],"This":[33],"system":[34],"essentially":[35],"consists":[36],"two-dimensional":[38],"quasilinear":[39],"wave-type":[40],"equations.":[41],"Following":[42],"vector":[45],"field":[46],"theory":[47],"and":[48,66,134],"generalized":[50,64,83,115],"energy":[51,84,116],"method":[52],"Klainerman,":[54],"introduce":[56,111],"anisotropic":[58,63,68,82,114],"weighted":[59,69],"Sobolev-type":[60],"inequalities,":[61],"energy,":[65],"L<sup>2</sup>":[70],"norm":[71],"adapted":[72],"domain.":[76],"The":[77,121],"main":[78],"issue":[79],"estimate":[85],"is":[86],"that":[87],"pressure":[89],"gradient":[90],"brings":[91],"an":[92,112],"extra":[93],"singular":[94],"<sup>-1</sup>":[96],"factor":[97],"arising":[98],"from":[99],"\\partial":[101],"<sub>3</sub><sup>2</sup>":[102],"derivative.":[103],"Based":[104],"on":[105],"inherent":[107],"cancellation":[108],"structure,":[109],"auxiliary":[113],"overcome":[118],"difficulty.":[120],"ghost":[122],"weight":[123],"technique":[124],"introduced":[125,139],"by":[126,140],"Alinhac":[127],"[Invent.":[128],"Math.,":[129,145],"145":[130],"(2001),":[131],"pp.":[132,148],"597-618]":[133],"strong":[136],"null":[137],"condition":[138],"Lei":[141],"[Comm.":[142],"Pure":[143],"Appl.":[144],"69":[146],"(2016),":[147],"2072-2106]":[149],"play":[150],"important":[151],"roles":[152],"for":[153],"temporal":[154],"decay":[155],"estimates.":[156]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}
